Quantum Information Theory and Quantum Statistics

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Publisher : Springer Science & Business Media
ISBN 13 : 3540746366
Total Pages : 216 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Quantum Information Theory and Quantum Statistics by : Dénes Petz

Download or read book Quantum Information Theory and Quantum Statistics written by Dénes Petz and published by Springer Science & Business Media. This book was released on 2007-10-20 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise and readable book addresses primarily readers with a background in classical statistical physics and introduces quantum mechanical notions as required. Conceived as a primer to bridge the gap between statistical physics and quantum information, it emphasizes concepts and thorough discussions of the fundamental notions and prepares the reader for deeper studies, not least through a selection of well chosen exercises.

Quantum Information Theory

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Publisher : Cambridge University Press
ISBN 13 : 1107034256
Total Pages : 673 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Quantum Information Theory by : Mark Wilde

Download or read book Quantum Information Theory written by Mark Wilde and published by Cambridge University Press. This book was released on 2013-04-18 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, graduate-level textbook that develops from scratch classical results as well as advances of the past decade.

Quantum Information Theory

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Publisher : Cambridge University Press
ISBN 13 : 1316813304
Total Pages : 1020 pages
Book Rating : 4.3/5 (168 download)

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Book Synopsis Quantum Information Theory by : Mark M. Wilde

Download or read book Quantum Information Theory written by Mark M. Wilde and published by Cambridge University Press. This book was released on 2017-02-06 with total page 1020 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developing many of the major, exciting, pre- and post-millennium developments from the ground up, this book is an ideal entry point for graduate students into quantum information theory. Significant attention is given to quantum mechanics for quantum information theory, and careful studies of the important protocols of teleportation, superdense coding, and entanglement distribution are presented. In this new edition, readers can expect to find over 100 pages of new material, including detailed discussions of Bell's theorem, the CHSH game, Tsirelson's theorem, the axiomatic approach to quantum channels, the definition of the diamond norm and its interpretation, and a proof of the Choi–Kraus theorem. Discussion of the importance of the quantum dynamic capacity formula has been completely revised, and many new exercises and references have been added. This new edition will be welcomed by the upcoming generation of quantum information theorists and the already established community of classical information theorists.

Quantum Information Processing with Finite Resources

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Publisher : Springer
ISBN 13 : 3319218913
Total Pages : 138 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Quantum Information Processing with Finite Resources by : Marco Tomamichel

Download or read book Quantum Information Processing with Finite Resources written by Marco Tomamichel and published by Springer. This book was released on 2015-10-14 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with the mathematical framework required to fully explore the potential of small quantum information processing devices. As decoherence will continue to limit their size, it is essential to master the conceptual tools which make such investigations possible. A strong emphasis is given to information measures that are essential for the study of devices of finite size, including Rényi entropies and smooth entropies. The presentation is self-contained and includes rigorous and concise proofs of the most important properties of these measures. The first chapters will introduce the formalism of quantum mechanics, with particular emphasis on norms and metrics for quantum states. This is necessary to explore quantum generalizations of Rényi divergence and conditional entropy, information measures that lie at the core of information theory. The smooth entropy framework is discussed next and provides a natural means to lift many arguments from information theory to the quantum setting. Finally selected applications of the theory to statistics and cryptography are discussed. The book is aimed at graduate students in Physics and Information Theory. Mathematical fluency is necessary, but no prior knowledge of quantum theory is required.

Statistical Structure of Quantum Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3540449981
Total Pages : 166 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Statistical Structure of Quantum Theory by : Alexander S. Holevo

Download or read book Statistical Structure of Quantum Theory written by Alexander S. Holevo and published by Springer Science & Business Media. This book was released on 2003-07-01 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: New ideas on the mathematical foundations of quantum mechanics, related to the theory of quantum measurement, as well as the emergence of quantum optics, quantum electronics and optical communications have shown that the statistical structure of quantum mechanics deserves special investigation. In the meantime it has become a mature subject. In this book, the author, himself a leading researcher in this field, surveys the basic principles and results of the theory, concentrating on mathematically precise formulations. Special attention is given to the measurement dynamics. The presentation is pragmatic, concentrating on the ideas and their motivation. For detailed proofs, the readers, researchers and graduate students, are referred to the extensively documented literature.

The Theory of Quantum Information

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Publisher :
ISBN 13 : 1107180562
Total Pages : 599 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis The Theory of Quantum Information by : John Watrous

Download or read book The Theory of Quantum Information written by John Watrous and published by . This book was released on 2018-04-26 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal development of the mathematical theory of quantum information with clear proofs and exercises. For graduate students and researchers.

Quantum Information Theory and the Foundations of Quantum Mechanics

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Publisher : Oxford University Press
ISBN 13 : 0199296464
Total Pages : 308 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Quantum Information Theory and the Foundations of Quantum Mechanics by : Christopher G. Timpson

Download or read book Quantum Information Theory and the Foundations of Quantum Mechanics written by Christopher G. Timpson and published by Oxford University Press. This book was released on 2013-04-25 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Christopher G. Timpson provides the first full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. He argues for an ontologically deflationary account of the nature of quantum information, which is grounded in a revisionary analysis of the concepts of information.

Quantum Zero-Error Information Theory

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Publisher : Springer
ISBN 13 : 3319427946
Total Pages : 189 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Quantum Zero-Error Information Theory by : Elloá B. Guedes

Download or read book Quantum Zero-Error Information Theory written by Elloá B. Guedes and published by Springer. This book was released on 2016-09-02 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims at presenting the field of Quantum Information Theory in an intuitive, didactic and self-contained way, taking into account several multidisciplinary aspects. Therefore, this books is particularly suited to students and researchers willing to grasp fundamental concepts in Quantum Computation and Quantum Information areas. The field of Quantum Information Theory has increased significantly over the last three decades. Many results from classical information theory were translated and extended to a scenario where quantum effects become important. Most of the results in this area allows for an asymptotically small probability of error to represent and transmit information efficiently. Claude E.Shannon was the first scientist to realize that error-free classical information transmission can be accomplished under certain conditions. More recently, the concept of error-free classical communication was translated to the quantum context. The so-called Quantum Zero-Error Information Theory completes and extends the Shannon Zero-Error Information Theory.

Asymptotic Theory of Quantum Statistical Inference

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Publisher : World Scientific
ISBN 13 : 981448198X
Total Pages : 560 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Asymptotic Theory of Quantum Statistical Inference by : Masahito Hayashi

Download or read book Asymptotic Theory of Quantum Statistical Inference written by Masahito Hayashi and published by World Scientific. This book was released on 2005-02-21 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' Quantum statistical inference, a research field with deep roots in the foundations of both quantum physics and mathematical statistics, has made remarkable progress since 1990. In particular, its asymptotic theory has been developed during this period. However, there has hitherto been no book covering this remarkable progress after 1990; the famous textbooks by Holevo and Helstrom deal only with research results in the earlier stage (1960s-1970s). This book presents the important and recent results of quantum statistical inference. It focuses on the asymptotic theory, which is one of the central issues of mathematical statistics and had not been investigated in quantum statistical inference until the early 1980s. It contains outstanding papers after Holevo's textbook, some of which are of great importance but are not available now. The reader is expected to have only elementary mathematical knowledge, and therefore much of the content will be accessible to graduate students as well as research workers in related fields. Introductions to quantum statistical inference have been specially written for the book. Asymptotic Theory of Quantum Statistical Inference: Selected Papers will give the reader a new insight into physics and statistical inference. Contents:Hypothesis TestingQuantum Cramér-Rao Bound in Mixed States ModelQuantum Cramér-Rao Bound in Pure States ModelGroup Symmetric Approach to Pure States ModelLarge Deviation Theory in Quantum EstimationFuther Topics on Quantum Statistical Inference Readership: Graduate students in quantum physics, mathematical physics, and probability and statistics. Keywords:Quantum Information;Estimation Theory;Statistics;Statistical Inference;Mathematical Physics;Asymptotic Theory;Hypothesis TestingReviews:“This book will give the scholars new insight into physics and statistical inference.”Zentralblatt MATH '

Quantum Computation and Quantum Information

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Publisher : Cambridge University Press
ISBN 13 : 1139495488
Total Pages : 709 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Quantum Computation and Quantum Information by : Michael A. Nielsen

Download or read book Quantum Computation and Quantum Information written by Michael A. Nielsen and published by Cambridge University Press. This book was released on 2010-12-09 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most cited books in physics of all time, Quantum Computation and Quantum Information remains the best textbook in this exciting field of science. This 10th anniversary edition includes an introduction from the authors setting the work in context. This comprehensive textbook describes such remarkable effects as fast quantum algorithms, quantum teleportation, quantum cryptography and quantum error-correction. Quantum mechanics and computer science are introduced before moving on to describe what a quantum computer is, how it can be used to solve problems faster than 'classical' computers and its real-world implementation. It concludes with an in-depth treatment of quantum information. Containing a wealth of figures and exercises, this well-known textbook is ideal for courses on the subject, and will interest beginning graduate students and researchers in physics, computer science, mathematics, and electrical engineering.

Quantum Systems, Channels, Information

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Publisher : Walter de Gruyter
ISBN 13 : 3110273403
Total Pages : 364 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Quantum Systems, Channels, Information by : Alexander S. Holevo

Download or read book Quantum Systems, Channels, Information written by Alexander S. Holevo and published by Walter de Gruyter. This book was released on 2012-12-06 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main emphasis of this work is the mathematical theory of quantum channels and their entropic and information characteristics. Quantum information theory is one of the key research areas, since it leads the way to vastly increased computing speeds by using quantum systems to store and process information. Quantum cryptography allows for secure communication of classified information. Research in the field of quantum informatics, including quantum information theory, is in progress in leading scientific centers throughout the world. The past years were marked with impressive progress made by several researchers in solution of some difficult problems, in particular, the additivity of the entropy characteristics of quantum channels. This suggests a need for a book that not only introduces the basic concepts of quantum information theory, but also presents in detail some of the latest achievements.

Quantum Information

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Publisher : Springer Science & Business Media
ISBN 13 : 3540302654
Total Pages : 430 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Quantum Information by : Masahito Hayashi

Download or read book Quantum Information written by Masahito Hayashi and published by Springer Science & Business Media. This book was released on 2006-04-20 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level textbook provides a unified viewpoint of quantum information theory that merges key topics from both the information-theoretic and quantum- mechanical viewpoints. The text provides a unified viewpoint of quantum information theory and lucid explanations of those basic results, so that the reader fundamentally grasps advances and challenges. This unified approach makes accessible such advanced topics in quantum communication as quantum teleportation, superdense coding, quantum state transmission (quantum error-correction), and quantum encryption.

Numerical Recipes in Quantum Information Theory and Quantum Computing

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Publisher : CRC Press
ISBN 13 : 1000423794
Total Pages : 424 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Numerical Recipes in Quantum Information Theory and Quantum Computing by : M.S. Ramkarthik

Download or read book Numerical Recipes in Quantum Information Theory and Quantum Computing written by M.S. Ramkarthik and published by CRC Press. This book was released on 2021-09-12 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes 160 subroutines all of which can be used either as a standalone program or integrated with any other main program without any issues. Every parameter in the input, output and execution has been provided while keeping both beginner and advanced users in mind. The output of every program is explained thoroughly with detailed examples.

Classical and Quantum Information Theory for the Physicist

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Publisher : CRC Press
ISBN 13 : 1000815471
Total Pages : 205 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Classical and Quantum Information Theory for the Physicist by : Harish Parthasarathy

Download or read book Classical and Quantum Information Theory for the Physicist written by Harish Parthasarathy and published by CRC Press. This book was released on 2022-12-23 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with certain important problems in Classical and Quantum Information Theory Quantum Information Theory, A Selection of Matrix Inequalities Stochastic Filtering Theory Applied to Electromagnetic Fields and Strings Wigner-distributions in Quantum Mechanics Quantization of Classical Field Theories Statistical Signal Processing Quantum Field Theory, Quantum Statistics, Gravity, Stochastic Fields and Information Problems in Information Theory It will be very helpful for students of Undergraduate and Postgraduate Courses in Electronics, Communication and Signal Processing. Print edition not for sale in South Asia (India, Sri Lanka, Nepal, Bangladesh, Pakistan or Bhutan).

An Object-Oriented Python Cookbook in Quantum Information Theory and Quantum Computing

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Publisher : CRC Press
ISBN 13 : 100062692X
Total Pages : 270 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis An Object-Oriented Python Cookbook in Quantum Information Theory and Quantum Computing by : M.S. Ramkarthik

Download or read book An Object-Oriented Python Cookbook in Quantum Information Theory and Quantum Computing written by M.S. Ramkarthik and published by CRC Press. This book was released on 2022-09-30 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first-of-a-kind textbook provides computational tools in state-of-the-art OOPs Python that are fundamental to quantum information, quantum computing, linear algebra and one-dimensional spin half condensed matter systems. Over 104 subroutines are included, and the codes are aided by mathematical comments to enhance clarity. Suitable for beginner and advanced readers alike, students and researchers will find this textbook to be a helpful guide and a compendium which they can readily use. Features Includes over 104 codes in OOPs Python, all of which can be used either as a standalone program or integrated with any other main program without any issues. Every parameter in the input, output and execution has been provided while keeping both beginner and advanced users in mind. The output of every program is explained thoroughly with detailed examples. Detailed mathematical commenting is done alongside the code which enhances clarity about the flow and working of the code.

Introduction to Quantum Physics and Information Processing

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Publisher : CRC Press
ISBN 13 : 1482238128
Total Pages : 268 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Introduction to Quantum Physics and Information Processing by : Radhika Vathsan

Download or read book Introduction to Quantum Physics and Information Processing written by Radhika Vathsan and published by CRC Press. This book was released on 2015-08-24 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Elementary Guide to the State of the Art in the Quantum Information FieldIntroduction to Quantum Physics and Information Processing guides beginners in understanding the current state of research in the novel, interdisciplinary area of quantum information. Suitable for undergraduate and beginning graduate students in physics, mathematics, or eng

Quantum Theory and Statistical Thermodynamics

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Publisher : Springer
ISBN 13 : 3319585959
Total Pages : 368 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Quantum Theory and Statistical Thermodynamics by : Peter Hertel

Download or read book Quantum Theory and Statistical Thermodynamics written by Peter Hertel and published by Springer. This book was released on 2017-08-16 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents a concise yet detailed introduction to quantum physics. Concise, because it condenses the essentials to a few principles. Detailed, because these few principles – necessarily rather abstract – are illustrated by several telling examples. A fairly complete overview of the conventional quantum mechanics curriculum is the primary focus, but the huge field of statistical thermodynamics is covered as well. The text explains why a few key discoveries shattered the prevailing broadly accepted classical view of physics. First, matter appears to consist of particles which, when propagating, resemble waves. Consequently, some observable properties cannot be measured simultaneously with arbitrary precision. Second, events with single particles are not determined, but are more or less probable. The essence of this is that the observable properties of a physical system are to be represented by non-commuting mathematical objects instead of real numbers. Chapters on exceptionally simple, but highly instructive examples illustrate this abstract formulation of quantum physics. The simplest atoms, ions, and molecules are explained, describing their interaction with electromagnetic radiation as well as the scattering of particles. A short introduction to many particle physics with an outlook on quantum fields follows. There is a chapter on maximally mixed states of very large systems, that is statistical thermodynamics. The following chapter on the linear response to perturbations provides a link to the material equations of continuum physics. Mathematical details which would hinder the flow of the main text have been deferred to an appendix. The book addresses university students of physics and related fields. It will attract graduate students and professionals in particular who wish to systematize or refresh their knowledge of quantum physics when studying specialized texts on solid state and materials physics, advanced optics, and other modern fields.